Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
General Relativity and Quantum Cosmology
2025-07-03 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We provide a fully analytical approach to calculate the nonlinearities of the gravitational waves in the ringdown of a Kerr black hole in the eikonal limit. The corresponding quasi-normal modes are associated to the orbits of a closed circular null geodesic and the problem can be analyzed by taking the Penrose limit around it. We calculate analytically the amplitude and the phase of the quadratic quasi-normal modes as well as its dependence on the black hole spin.
Keywords
Cite
@article{arxiv.2507.01919,
title = {Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit},
author = {D. Perrone and A. Kehagias and A. Riotto},
journal= {arXiv preprint arXiv:2507.01919},
year = {2025}
}
Comments
24 pages, 3 figures